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Side Angle Side PostulateProving Congruent Triangles with SAS The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Theorems and Postulates for proving triangles congruent Hypotenuse Leg Theorem | Side Side Side | Side Angle Side | Angle Side Angle | Angle Angle Side |isosceles triangle proofs|CPCTC | indirect proof| quiz on all theorems/postulates | Images This page: SAS Pracice Proofs |included angle | SAS Postulate Example 1
 ABC  XYZ
Included AngleThe included angle means the angle between two sides. In other words it is the angle 'included between' two sides. Identify Side Angle Side RelationshipsIn which pair of triangles pictured below could you use the Side Angle Side postulate (SAS) to prove the triangles are congruent?Answer Pair four is the only true example of this method for proving triangles congruent. It is the only pair in which the angle is an included angle.
Theorems and Postulates for proving triangles congruent Hypotenuse Leg Theorem | Side Side Side | Side Angle Side | Angle Side Angle | Angle Angle Side |isosceles triangle proofs|CPCTC | indirect proof| quiz on all theorems/postulates | Images This page: SAS Pracice Proofs |included angle | SAS Postulate Side Angle Side Practice ProofsSide Angle Side Example ProofProve
Side Angle Side Activity
Below is the proof that two triangles are congruent by Side Angle Side. Can you imagine or draw on a piece of paper, two triangles,BCA XCY, whose diagram would be consistent with the Side Angle Side proof whown below?
Theorems and Postulates for proving triangles congruent Hypotenuse Leg Theorem | Side Side Side | Side Angle Side | Angle Side Angle | Angle Angle Side |isosceles triangle proofs|CPCTC | indirect proof| quiz on all theorems/postulates | Images This page: SAS Pracice Proofs |included angle | SAS Postulate Top |
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